ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

The set {1, -1, i, -i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

The set of integers is a subset of

• The set of natural numbers A
• The set of whole numbers B
• The set of prime numbers C
• The set of rational numbers D

For any set B,B∪B' is

• Is set B A
• Set B' B
• Universal set C

If A and B are two sets then intersection of A and B is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The graph of a linear function is

• a circle A
• triangle B
• a straight line C
• none of these D

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

A statement which is either true or false is called

• Induction A
• Deduction B
• Propositicon C
• Logic D

{1, 2, 3} is _____

• an infinite set A
• A finite set B
• A singleton set C
• Universal set D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• +-1 C
• 0 D

Φ set is the _______ of all sets

• Subset A
• Union B
• Universal C
• Intersection D

The number of proper subset of A ={a.b.c.d} is

• 3 A
• 6 B
• 8 C
• 15 D

P∉ A means

• Pis subset of A A
• Pis an element of A B
• P does not belongs to A C
• A does not element of P D

The geometrical representation of a linear function is

• Circle A
• Parabola B
• Straight lie C
• None of these D

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

In set builder notation the set {0, 1, 2, ............, 100} can be written as

• 
  A
• 
  B
• 
  C
• 
  D

A monoid (G, *) is said to be group if

• have identity element A
• is commutative B
• have inverse of each element C
• None of these D

What is the number of elements of the power set of { }

• 0 A
• 1 B
• 2 C
• 3 D

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

• 1-1 and onto A
• Bijective B
• 1-1 and into C
• None of these D

• A finite set A
• An infinite set B
• An empty set C
• None of these D

If A⊆ B, and B is a finite set, then

• n (a) < n(B) A
• n(B)<(A) B
• n(A)≤ n (B) C
• n(A)≥ n(B) D

Given X, Y are many two sets such that number of elements in X = 18, number of elements in set Y = 24, and number of elements in set X ∪ Y = 40, then number of elements in set X + Y =

• 3 A
• 1 B
• 2 C
• 4 D

• Addition A
• Subtraction B
• Multiplication C
• None of these D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

If we have a statement "if p then q" then q is called

• Conclusion A
• Implication B
• Unknown C
• Hypothesis D

If A=B, then

• A⊂B and B⊂A A
• A⊆B and B⊈A B
• A⊆B and B⊆A C
• None of these D

Multiplicative inverse of "1" is

• +- 1 A
• 0 B
• 1 C
• None of these D

The set {Z\{0}} is group w.r.t

• Addition A
• Multiplication B
• Division C
• Subtraction D